| 一个电化学动力系统中的混合模式振荡 |
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| 作者单位： | ;1.西京学院应用统计与理学系;2.西安交通大学航天航空学院机械结构强度与振动国家重点实验室 |
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| 摘 要： | 为了研究溴化铟(III)在含有大量硫氰酸钠电解液中扩散电化学系统的电流自激振荡,采用回归映射和庞加莱截面,考察混合模式振荡和混沌现象的动力学状态.根据数值模拟结果得出,电流的时间序列以某一特定序列的形式出现混合模式振荡行为,并且出现了相邻两个周期状态交错出现的周期状态和混沌状态;通过电流的分岔图和周期图,从理论上分析了混合模式振荡行为的有序变化.结果表明:电化学模型呈现出的混合模式振荡行为有着规律的周期性变化,这与现有的文献结果保持一致.
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| 关 键 词： | 混沌 混合模式振荡 回归映射 庞加莱截面 峰峰间期 时间序列 |
Mixed-mode Oscillations in a Model of Electrochemical System |
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| Institution: | ,Department of Applied Statistics and Science,Xijing University,School of Aerospace,State Key Lab of Strength and Vibration of Mechanical Structures,Xi'an Jiaotong University |
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| Abstract: | In order to study the current self-excited oscillation of electrochemical system which describes the diffusion of In( III) in an electrolyte solution containing a large excess of sodium thiocyanate,the return maps and Poincare sections were adopted to investigate the dynamical state of mixed-mode oscillations and chaos. According to the simulation results,the mixed-mode oscillatory behavior for the typical oscillatory time series of the electric current had the form of a particular sequence,and the interjacent periodic states and chaotic states that were concatenation of the two principal states were displayed between two neighboring states. It was theoretically proved that the dynamical behavior of the electrochemical system had the characteristics of periodicity and complexity according to the bifurcation diagram and periodogram. The results indicated that the mixed-mode oscillations had the regular periodic changes which is the same as the results of the existing documents. |
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| Keywords: | chaos mixed-mode oscillations return map Poincare section interspike interval time series |
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